71867424 has 144 divisors (see below), whose sum is σ = 210198240. Its totient is φ = 21427200.

The previous prime is 71867413. The next prime is 71867429. The reversal of 71867424 is 42476817.

Its product of digits (75264) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71867429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752844 + ... + 1752884.

It is an arithmetic number, because the mean of its divisors is an integer number (1459710).

Almost surely, 2^71867424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71867424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105099120).

71867424 is an abundant number, since it is smaller than the sum of its proper divisors (138330816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71867424 is a wasteful number, since it uses less digits than its factorization.

71867424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 71867424 is about 8477.4656590281. The cubic root of 71867424 is about 415.7612658814.

The spelling of 71867424 in words is "seventy-one million, eight hundred sixty-seven thousand, four hundred twenty-four".